Algebra Examples

x (x^{2}) (x^{4})

$x (x^{2}) (x^{4})$

Step 1

Multiply

x

$x$ by

x^{2}

$x^{2}$ by adding the exponents.

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Step 1.1

Multiply

x

$x$ by

x^{2}

$x^{2}$ .

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Step 1.1.1

Raise

x

$x$ to the power of

1

$1$ .

x^{1} x^{2} x^{4}

$x^{1} x^{2} x^{4}$

Step 1.1.2

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

x^{1 + 2} x^{4}

$x^{1 + 2} x^{4}$

x^{1 + 2} x^{4}

$x^{1 + 2} x^{4}$

Step 1.2

Add

1

$1$ and

2

$2$ .

x^{3} x^{4}

$x^{3} x^{4}$

x^{3} x^{4}

$x^{3} x^{4}$

Step 2

Multiply

x^{3}

$x^{3}$ by

x^{4}

$x^{4}$ by adding the exponents.

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Step 2.1

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

x^{3 + 4}

$x^{3 + 4}$

Step 2.2

Add

3

$3$ and

4

$4$ .

x^{7}

$x^{7}$

x^{7}

$x^{7}$

x (x^{2}) (x^{4})

$x (x^{2}) (x^{4})$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$